331601920 has 192 divisors, whose sum is σ = 891596160. Its totient is φ = 117571584.

The previous prime is 331601911. The next prime is 331601923. The reversal of 331601920 is 29106133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331601923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6256614 + ... + 6256666.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^331601920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

331601920 is an abundant number, since it is smaller than the sum of its proper divisors (559994240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331601920 is a wasteful number, since it uses less digits than its factorization.

331601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 331601920 is about 18209.9401426803. The cubic root of 331601920 is about 692.1586948235.

The spelling of 331601920 in words is "three hundred thirty-one million, six hundred one thousand, nine hundred twenty".